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arXiv 0809.1525hep-th
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沼泽地的人口:U(1)^496和E_8 × U(1)^248的情况

Populating the swampland: the case of U(1)^496 and E_8 x U(1)^248

Bartomeu Fiol

摘要:

对于d=10 N=1 SUGRA耦合到d=10 N=1 SYM,异常取消对允许的规范群施加了严格的限制。除了已知出现在弦论中的那些,只允许U(1)^496和E_8 × U(1)^248。目前还没有已知的量子引力理论能在某种程度上简化为最后两种超引力理论,在这篇文章中,我将提供一些证据,证明这些量子理论可能不存在。第一个观察是,在紧化后,要求量子理论具有有限体积的模空间通常意味着在4d规范群被增强的地方存在奇点,但是对于这两个理论,从10 d的观点来看,规范增强是有问题的。我还指出,虽然这四个超引力理论提出了排斥型奇点,但修复前两个奇点的已知机制-非阿贝尔增强子-对后两个理论不可用。简而言之,这两个超引力理论可能太过阿贝尔化了。

英文摘要:

For d=10 N=1 SUGRA coupled to d=10 N=1 SYM, anomaly cancellation places severe constraints on the allowed gauge groups. Besides the ones known to appear in string theory, only U(1)^496 and E_8 x U(1)^248 are allowed. There are no known theories of quantum gravity that reduce in some limit to these two last supergravity theories, and in this note I present some evidence that those quantum theories might not exist. The first observation is that, upon compactification, requring that the quantum theory possesses a moduli space with finite volume typically implies the existence of singularities where the 4d gauge group is enhanced, but for these two theories that gauge enhancement is problematic from the 10d point of view. I also point out that while these four supergravity theories present repulson-type singularities, the known mechanism that repairs those singularities for the first two - the non-Abelian enhancon - is not available for the last two theories. In short, these two supergravity theories might be too Abelian for their own good.

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